Well‐posedness for fractional Navier–Stokes equations in the largest critical spaces |
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| Authors: | Xinwei Yu Zhichun Zhai |
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| Affiliation: | Department of Mathematical and Statistical Sciences, University of Alberta, , Edmonton, AB, T6G 2G1 Canada |
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| Abstract: | This note studies the well‐posedness of the fractional Navier–Stokes equations in some supercritical Besov spaces as well as in the largest critical spaces  for β ∈ (1/2,1). Meanwhile, the well‐posedness for fractional magnetohydrodynamics equations in these Besov spaces is also studied. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | Navier– Stokes equations magnetohydrodynamics equations well‐posedness Besov spaces |
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